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Arrange the 9 toothpicks thus:

7 + 3

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13y ago

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How do you make five triangles with ten toothpicks?

You can make 5 triangles out of 9 toothpicks. With 6 toothpicks, make a large triangle with 2 toothpicks for each side. Now, take individual toothpicks, and make a smaller triangle inside the larger one by joining the midpoints of the sides of the previous triangle. (The vertices of the smaller triangle are the midpoints of the sides of the larger one).


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You arrange 12 toothpicks into a large square, subdivided into four squares : 2 toothpicks on each side and four more, one each from the middle of the sides to the center of the large square. Now you have four (small) squares. Take away 2 adjacent toothpicks from the ones in the center, and you have 2 squares : one remaining small one and the large one that has the small one inside it. (see related link)


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